Application of generalized wavelets: an adaptive multiresolution scheme
Journal of Computational and Applied Mathematics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
Journal of Computational Physics
An adaptive multiresolution scheme with local time stepping for evolutionary PDEs
Journal of Computational Physics
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
Journal of Computational Physics
An adaptive central-upwind weighted essentially non-oscillatory scheme
Journal of Computational Physics
Journal of Computational Physics
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For the efficient simulation of fluid flows governed by a wide range of scales a wavelet-based adaptive multi-resolution solver on heterogeneous parallel architectures is proposed for computational fluid dynamics. Both data- and task-based parallelisms are used for multi-core and multi-GPU architectures to optimize the efficiency of a high-order wavelet-based multi-resolution adaptative scheme with a 6th-order adaptive central-upwind weighted essentially non-oscillatory scheme for discretization of the governing equations. A modified grid-block data structure and a new boundary reconstruction method are introduced. A new approach for detecting small scales without using buffer levels is introduced to obtain additional speed-up by minimizing the number of required blocks. Validation simulations are performed for a double-Mach reflection with different refinement criteria. The simulations demonstrate accuracy and computational performance of the solver.